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Finding the Fourth Proportional to 105,032.32, 157,178.40 and 65,608

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Solution

The fourth proportional to 105,032.32, 157,178.40 and 65,608 is: 98,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032.32 : 157,178.40 = 65,608 : x
  2. Step 2: Convert to fraction form
    105,032.32/157,178.40 = 65,608/x
  3. Step 3: Cross multiply
    105,032.32x = 157,178.40 × 65,608
  4. Step 4: Simplify right side
    105,032.32x = 10,312,160,467.20
  5. Step 5: Solve for x
    x = 10,312,160,467.20/105,032.32
  6. Step 6: Final answer
    x = 98,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.